Answer:
P(X>5) = 0.857
Step-by-step explanation:
Let X [tex]\sim[/tex] uniform(3.17)
[tex]f(x) = \dfrac{1}{17-3} ; \ \ \ 3 \le x \le 17[/tex]
The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:
[tex]P(X > 5) = \int ^{17}_{5} f(x) \ dx[/tex]
[tex]P(X > 5) = \int ^{17}_{5} \dfrac{1}{17-3} \ dx[/tex]
[tex]P(X > 5) =\dfrac{1}{14} \Big [x \Big ] ^{17}_{5}[/tex]
[tex]P(X > 5) =\dfrac{1}{14} [17-5][/tex]
[tex]P(X > 5) =\dfrac{12}{14}[/tex]
P(X>5) = 0.857
The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.
Answer:62% Step-by-step explanation:
is 33 prime or composite Explain
Answer:
33 is composite
Step-by-step explanation:Because its factors are 1, 3, 11, 33
A sporting goods store sells two types of bicycles, in two colors. The table
shows its sales over the last year.
Road bike
Mountain bike
Total
Silver
81
39
120
Black
54
26
80
Total
135
65
200
Are buying a road bike and buying a silver bike independent events?
A. Yes, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.
B. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.6.
C. Yes, because P(road bike) = 0.405 and P(road bike | silver) = 0.675.
O D. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.
Answer:
Answer D
Step-by-step explanation:
120 + 81+ 39=240 silver bikes
80+54+26= 160 black bikes
Total 200 + 135 + 65= 400
240+ 160=400
Answer:
Answer is C
Step-by-step explanation:
ap3xxx
Bismuth-214 has a half-life (50%) of approximately 20 minutes. Find the amount of Bismuth-214 left
from a 40-gram sample after 2 hours.
Answer: 3.36
Step-by-step explanation:
f(x)=214(1-.50)^6 6= amount of times 20 min goes into 2 hrs
f(x)=214(.50)^6
.5^6=.0157
f(x)=214(.0157)
3.36
According to a survey conducted by Deloitte in 2017, 0.4702 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 54 randomly selected U.S. smartphone owners, what is the probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past?
1) 0.0241.
2) 0.1703.
3) 0.8779.
4) 0.0483.
5) 0.1221.
Answer: 0.628
Step-by-step explanation:
Probability of U.S. smartphone owners have made an effort to limit their phone use in the past : p = 0.4702
Sample size : n= 54
Mean : [tex]\mu =(54)(0.4702)=25.39[/tex]
Standard deviation:
[tex]\sigma=\sqrt{(54)(0.4702)}=\sqrt{25.39}\\\\\approx5.039[/tex]
The probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past will be :
[tex]P(22\leq x\leq29)=P(21<x<30)=P(\dfrac{21-25.39}{5.039}<\dfrac{X-\mu}{\sigma}<\dfrac{30-25.39}{5.039})\\\\=P(-0.8712<z<0.914864)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=P(z<0.914864)-P(z<-0.8712)\\\\=P(z<0.914864)-(1-P(z<0.8712))\\\\=0.8198685-(1-0.8081775)\ \ \ [\text{ By p-value table}]\\\\=0.628046[/tex]
Hence, the required probability = 0.628
How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word
Answer: 118 combinations.
Step-by-step explanation:
In ALIVE we have 5 letters, rearranging it we have the possible options of:
5 options for the first letter.
4 options for the second letter, as one was already chosen for the first one
3 options for the third letter, as 2 were already chosen.
2 options for the fourth letter.
1 option for the last letter.
The total number of combinations will be equal to the product of the numbers of options for each letter, then we have:
5*4*3*2*1 = 120 combinations.
And the combinations where the word EVIL is formed are:
AEVIL
EVILA
2 combinations, then the total number of combinations such that the word evil is not formed are:
120 - 2 = 118 combinations.
Black friday sale on TVs were 50 in tv for $148.00 or 65 in for $199.00 which is the better buy this is not worth a grade just some understanding
Answer:
i personally think the 65 in. one
Step-by-step explanation:
max is thinking of a number which he calls n
Answer:
what are you trying to ask?
Step-by-step explanation:
A and B are independent events.
P(A) = 0.6
P(B) = 0.4
What is P(AB)?
O A. 0.24
O B. 0.6
O C. 0.4
D. Not enough information
Answer:
Not enough information
A grocery store has bananas on sale for 2 pounds for $1.50. What is the cost of 6 pounds of bananas?
Answer:
$4.50
Step-by-step explanation:
6 / 2 = 3
$1.50 x 3 = $4.50
Takis or Hot cheetos?
Answer:
Takis
.................
if f(x) = x^2 + x , find f(-3) a)-12 b)3 c)6
What is the slope of the graph of
y = -3x + 2?
Answer: -3
Step-by-step explanation:
What is the range in interval notation?
Answer:
The blue box
Step-by-step explanation:
Youre talking about range which takes place on the y-axis (domain is the x-axis).
The top point is an open circle which indicates in the math world the parentheses and the bottom point 1 in a bracket as its a closed circle.
What expression is equivalent to 12y + (7y)(3)
Answer:
I got 33y
Step-by-step explanation:
hi if its right but here
Answer:
57y
Step-by-step explanation:
Choose the equation that represents the asymptote of the graph f(x) = 2^x +3.
y = 0
y = 3
x = 0
x = 3
Answer:
x = 0Step-by-step explanation:
The horizontal asymptote occurs at x = 0, Hence the equation that represents the asymptote of the graph is at x = 0
f(x) = 2^x +3.
0 = 2^x +3.
2^x +3. = 0
2^x = -3
log 2^ x = log(-3)
x log2 = log(-3)
x = log(-3)/log 2
Hence the required function is when x = 0
Can someone help me on these questions?
Answer:
I can give you a few of them, sorry
Step-by-step explanation:
5) obtuse 6)straight 7)right 9) 24°
using the order of operations, what should be done first to evaluate 8² + 10 (-5) (3) - 5?
A. Subtract 5 From 3.
B. Divide 10 by -5.
C. Add 6 and 10.
D. Evaluate 8².
Answer:
D
Step-by-step explanation:
The half-life of cesium-137 is 30 years. Suppose we have a 20 mg sample.
a. Find the mass (in mg) that remains after t years.
b. How much of the sample (in mg) remains after 20 years?
c. After how long will only 1 mg remain?
Answer:
(a) A = (20mg)/(2^(t/30))
(b) 12.6mg
(c) 129.6years
Step-by-step explanation:
To calculate the amount remaining after a number of half-lives, n, we can make use of:
[tex]A = \frac{B}{2^n}[/tex]
Where A = amount remaining
B = initial amount
[tex]n = \frac{t}{t_{0.5}}[/tex]
(a) A = (20mg)/(2^(t/30))
(b) Mass after 20years
A = (20mg)/(2^(20/30)) ≈ 12.6mg
(c) After how long will only 1mg remain:
1mg = (20mg)/(2^(t/30))
[tex]20mg = {2^{\frac{t}{30}}[/tex]
Taking log of both sides we have:
Log(20) = (t/30)log(2)
t/30 = (log(20))/(log(2)) ≈ 4.3
t/30 = 4.3
t = 30 x 4.3 ≈ 129.6years.
find the value of x then classify the triangle by its angles
Answer:
x = 134°
Step-by-step explanation:
Let
[tex]\angle A=64^{\circ}\\\\\angle B =70^{\circ}[/tex]
We need to find the value of x.
We can see from the figure that x is exterior angle. To find x we can use exterior angle theorem. According to this theorem,
[tex]x=\angle A+\angle B\\\\x=64+70\\\\x=134^{\circ}[/tex]
Hence, the value of x is 134°
Which of the following are two-step equations? Choose more than
one answers
Answer:
i think a b d f
Step-by-step explanation:
HELLP PLZ... Also MERRY EARLY CHRISTMAS
Answer:
Step-by-step explanation:
0 would represent the surface of the water
4 seguall
3
2
1 above water
0-surface of the water
-1 in the water
-2
-3
-4
Answer:
on the surface, because 0 represents sea level.
Step-by-step explanation:
Hope this helps and good luck :)
i am a decimal number less than 1. the digit in my tenths place is an even prime number. my hundredths digit is twice my tenths digit, and my hundred thousandths digit is twice my hundredths digit. the thousandths digit is three less than my hundredths digit. my ten thousandths digit is the sum of my tenths and thousandths digit. what number am i?
Answer:
.
Step-by-step explanation:
Answer:
0.24857
Step-by-step explanation:
Less than 1 is 0. and
only even prime is 2
Understanding how a budget is created will help you develop good financial decision making skills. This is known as: Question 3 options: Financial expertise Financial literacy Accounting Math
Answer:
True mate
Step-by-step explanation:
The budget is created to develop good financial decision-making skills, is known as Financial literacy. Thus, option 2nd is correct.
What is Budget?Budget refers to the blueprint of the expenses and income of the individual or the corporation. It is the estimation of the net revenue after deducing all losses and expenses for the specific period of time. After the expiry of the specific period, the new budget is prepared.
Government also prepares the budget to calculate the deficit or surplus in the government spending. Therefore, It can be prepared by a person, group, business or government organization.
Financial literacy refers to confident of understanding the concepts regarding the finances of the person and his savings. It is study about the money related affairs.
Therefore, it can be concluded that option 2nd is correct.
Learn more about Budget here:
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Please explain how to do this please show work
Answer:
(x-1)(x+4)
I.e x(x+4)-1(x+4)
Xsquare +4x -x -4
Xsquare +3x -4
I will give brainliest
The original Ferris wheel introduced at the 1893 World’s Fair in Chicago had a diameter of 125 feet. What is the approximate distance traveled by a person who rode this Ferris wheel for 5 complete revolutions? Use 3.14 for pi to solve.
1,962.5 ft
981.25 ft
625 ft
392.5 ft
Answer:
B is the answer to your question!
Are the equation linear or nonlinear?
Answer:
Results below
Step-by-step explanation:
Equation of the line
A straight line can be written in the form:
y = ax + b
Where a and b are constants and x is the independent variable.
The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.
From the equations presented in the table:
[tex]y = x^1+2[/tex] is linear because the exponent of the x is 1
y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.
y = x is linear with a=1 and b=0
[tex]y = x^2+1[/tex] is not linear because the exponent of x is 2
[tex]y = x(x) = x^2[/tex] is not linear because the exponent of x is 2
The table below summarizes the results
21. A triangle has side lengths of 6, 8, and 9. What type of triangle is it?
O equiangular
O obtuse
O acute
Oright
The solution is Option C.
The triangle with sides 6 , 8 and 9 is an acute triangle
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be ΔABC
Now , the sides of the triangle is
The measure of side AB = 6
The measure of side BC = 8
The measure of side AC = 9
Now , for a triangle
a² + b² > c² , the the triangle is an acute triangle
a² + b² = c² , then the triangle is right triangle,
a² + b² < c² , then it is an obtuse triangle
Now , If it is an equilateral triangle , a = b = c
Substituting the values in the equation , we get
AC² < AB² + BC²
9² < 6² + 8²
81 < 36 + 64
81 < 100
Hence , the triangle ABC is an acute triangle
To learn more about triangles click :
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2+2jjjjjjkkkkkkuyuoo
Answer:
4
Step-by-step explanation:
1+1+1+1=2+2=4
What is 1/32 as a decimal
Answer:
0.03125
Hope this helps! :)
0.03125 is the answer :) hope it helped